Question

find the mean proportion between 2 and 8​

Answer 1

Answer:

2:x::x:8

Step-by-step explanation:

2:x::x;8

2/x=x/8

x2=8×2

x2=16

x=under root 16

x=4

Answer 2

The mean proportion between 2 and 8 is 4

Given :

The numbers 2 and 8

To find :

The mean proportion between 2 and 8

Solution :

Step 1 of 2 :

Form the equation

Let x be the mean proportion between 2 and 8

By the given condition

2 : x = x : 8

Step 2 of 2 :

Find the number

2 : x = x : 8

$\displaystyle \sf{ \implies \frac{2}{x} = \frac{x}{8} }$

$\displaystyle \sf{ \implies {x}^{2} = 16 }$

$\displaystyle \sf{ \implies x = \sqrt{16} }$

$\displaystyle \sf{ \implies x = 4 }$

The mean proportion between 2 and 8 is 4

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